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Finding the Fourth Proportional to 285,507.84, 393,984.36 and 158,175.84

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Solution

The fourth proportional to 285,507.84, 393,984.36 and 158,175.84 is: 218,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,507.84 : 393,984.36 = 158,175.84 : x
  2. Step 2: Convert to fraction form
    285,507.84/393,984.36 = 158,175.84/x
  3. Step 3: Cross multiply
    285,507.84x = 393,984.36 × 158,175.84
  4. Step 4: Simplify right side
    285,507.84x = 62,318,807,089.86
  5. Step 5: Solve for x
    x = 62,318,807,089.86/285,507.84
  6. Step 6: Final answer
    x = 218,273.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.